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422349696 = 2732523701
BaseRepresentation
bin11001001011001…
…000101110000000
31002102201120212100
4121023020232000
51331110142241
6105524230400
713315625136
oct3113105600
91072646770
10422349696
111a745063a
12b953b400
1369668382
1440141756
152712a9b6
hex192c8b80

422349696 has 96 divisors (see below), whose sum is σ = 1219416120. Its totient is φ = 140313600.

The previous prime is 422349659. The next prime is 422349757. The reversal of 422349696 is 696943224.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4223496962 = 356758531422584832, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 602146 + ... + 602846.

Almost surely, 2422349696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422349696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609708060).

422349696 is an abundant number, since it is smaller than the sum of its proper divisors (797066424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

422349696 is a wasteful number, since it uses less digits than its factorization.

422349696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1229 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 422349696 is about 20551.1482890859. The cubic root of 422349696 is about 750.2811958920.

The spelling of 422349696 in words is "four hundred twenty-two million, three hundred forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 523 576 701 1046 1152 1402 1569 2092 2103 2804 3138 4184 4206 4707 5608 6276 6309 8368 8412 9414 11216 12552 12618 16736 16824 18828 22432 25104 25236 33472 33648 37656 44864 50208 50472 66944 67296 75312 89728 100416 100944 134592 150624 200832 201888 269184 301248 366623 403776 602496 733246 807552 1099869 1466492 2199738 2932984 3299607 4399476 5865968 6599214 8798952 11731936 13198428 17597904 23463872 26396856 35195808 46927744 52793712 70391616 105587424 140783232 211174848 422349696